The authors determine the algorithmic complexity of domination and variants on cocomparability graphs, a class of perfect graphs containing both the interval and the permutation graphs. Minimum dominating total dominating, connected dominating, and independent dominating sets can be constructed in polynomial time. On the other hand. DOMINATING CLIQUE and MINIMUM DOMiNATING CLIQUE remain NP-complete on cocomparability graphs.
机构:
Department of Computer Science, Indiana Purdue Univ. at Fort Wayne, Fort WayneDepartment of Computer Science, Indiana Purdue Univ. at Fort Wayne, Fort Wayne
Liang Y.D.
Chang M.-S.
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机构:
Dept. of Comp. Sci. and Info. Eng., National Chung Cheng University, Min-HsiungDepartment of Computer Science, Indiana Purdue Univ. at Fort Wayne, Fort Wayne
机构:
Department of Mathematics and Statistics, University of Victoria, Victoria,BC,V8W 2Y2, CanadaDepartment of Mathematics and Statistics, University of Victoria, Victoria,BC,V8W 2Y2, Canada